Metrics for From Warwick Tucker's Validated Numerics

analyze0.0ms (0%)

Algorithm

1×

random

Compiler

Compiled 45 to 32 computations (28.9% saved)

sample6.3s (89.9%)

Results

5.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 4.7s

ival-mult: 1.8s (38.4% of total)

ival-pow: 1.3s (27.9% of total)

ival-add: 656.0ms (14% of total)

backward-pass: 461.0ms (9.8% of total)

ival-div: 262.0ms (5.6% of total)

ival-neg: 120.0ms (2.6% of total)

const: 82.0ms (1.7% of total)

Bogosity

preprocess35.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	2

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 11 binary64) (*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (*.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (*.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 11 binary64) (*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (*.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (*.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))
#s(literal -54767/66192 binary64)
(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))
#s(literal -54767/66192 binary64)

explain590.0ms (8.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64))))
0	-	-	`#s(literal 11 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))`
0	-	-	`(*.f64 #s(literal 2 binary64) #s(literal 33096 binary64))`
0	-	-	`(+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64))`
0	-	-	`(+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))))`
0	-	-	`(pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64))`
0	-	-	`#s(literal -2 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))`
0	-	-	`#s(literal 6 binary64)`
0	-	-	`(neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))`
0	-	-	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))
0	-	-	`(/.f64 #s(literal 77617 binary64) (*.f64 #s(literal 2 binary64) #s(literal 33096 binary64)))`
0	-	-	`#s(literal -121 binary64)`
0	-	-	`(*.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))`
0	-	-	`#s(literal 1335/4 binary64)`
0	-	-	`(*.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))`
0	-	-	`(pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))`
0	-	-	`#s(literal 33096 binary64)`
0	-	-	`#s(literal 77617 binary64)`
0	-	-	(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64))))
0	-	-	`#s(literal 11/2 binary64)`
0	-	-	`(*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))`
0	-	-	`(.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)))`
0	-	-	`(pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64))`
0	-	-	`#s(literal 8 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64)))`
0	-	-	`(+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64))))`

Results

438.0ms

512×

valid

Compiler

Compiled 572 to 95 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-pow: 102.0ms (36.4% of total)

ival-mult: 65.0ms (23.2% of total)

ival-add: 63.0ms (22.5% of total)

backward-pass: 32.0ms (11.4% of total)

ival-div: 8.0ms (2.9% of total)

const: 6.0ms (2.1% of total)

ival-neg: 5.0ms (1.8% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune0.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(literal -54767/66192 binary64)

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal -54767/66192 binary64)

Outputs
#s(literal -54767/66192 binary64)

localize9.0ms (0.1%)

Results

6.0ms

256×

valid

Compiler

Compiled 2 to 2 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

...c/correct-round.rkt:121:19: 4.0ms (101.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 0 to 0 computations (0% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(literal -54767/66192 binary64)

Compiler

Compiled 46 to 33 computations (28.3% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal -54767/66192 binary64)

Outputs
#s(literal -54767/66192 binary64)

soundness42.0ms (0.6%)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	2

Stop Event

1×	done
1×	saturated

Compiler

Compiled 45 to 32 computations (28.9% saved)

preprocess28.0ms (0.4%)

Compiler: Compiled 90 to 64 computations (28.9% saved)

From Warwick Tucker's Validated Numerics

analyze0.0ms (0%)

sample6.3s (89.9%)

preprocess35.0ms (0.5%)

explain590.0ms (8.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize9.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.0ms (0%)

soundness42.0ms (0.6%)

preprocess28.0ms (0.4%)

end0.0ms (0%)

Profiling